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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## Absolute value tagged by: harsh8686 ##### This topic has 3 expert replies and 1 member reply ## Absolute value ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x? A) -2 B) 0 C) 1 D) 3 E) 5 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12655 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 harsh8686 wrote: If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x? A) -2 B) 0 C) 1 D) 3 E) 5 A quick approach is to simply test the answer choices A) -2 No good. The absolute value of something cannot be negative B) 0 Plug in to get |0² - 6| = 0. Doesn't work. C) 1 Plug in to get |1² - 6| = 1. Doesn't work. D) 3 Plug in to get |3² - 6| = 3. WORKS!!! Answer: D Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15103 messages Followed by: 1859 members Upvotes: 13060 GMAT Score: 790 harsh8686 wrote: If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x? A) -2 B) 0 C) 1 D) 3 E) 5 Alternate approach: Since an absolute value cannot be negative -- implying that the right side of the equation must be NONNEGATIVE -- we know that x≥0. If x²-6=x, we get: x²-x-6=0 (x-3)(x+2) = 0 Only the factor in green implies a nonnegative option for x: x-3=0 x=3. The correct answer is D. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. Newbie | Next Rank: 10 Posts Joined 14 Nov 2017 Posted: 6 messages harsh8686 wrote: If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x? A) -2 B) 0 C) 1 D) 3 E) 5 Absolute values can be time-consuming to deal with, because you have to split into two different cases and work them out. In this situation, the approach Brent mentioned, testing the answer choices, will be the fastest approach. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2012 messages Followed by: 14 members Upvotes: 43 harsh8686 wrote: If $$\left|X^2\ -\ 6\right|\ =\ X$$ , which of the following could be the value of x? A) -2 B) 0 C) 1 D) 3 E) 5 Looking at the answer choices we see that when x = 3, we have: |9 - 6| = 3 3 = 3 Answer: D _________________ Scott Woodbury-Stewart Founder and CEO • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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